210415013 has 2 divisors, whose sum is σ = 210415014. Its totient is φ = 210415012.

The previous prime is 210414989. The next prime is 210415021. The reversal of 210415013 is 310514012.

210415013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210163009 + 252004 = 14497^2 + 502^2 .

It is a cyclic number.

It is not a de Polignac number, because 210415013 - 2¹⁰ = 210413989 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 210414982 and 210415000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210415033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105207506 + 105207507.

It is an arithmetic number, because the mean of its divisors is an integer number (105207507).

Almost surely, 2^210415013 is an apocalyptic number.

It is an amenable number.

210415013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210415013 is an equidigital number, since it uses as much as digits as its factorization.

210415013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 210415013 is about 14505.6889874283. The cubic root of 210415013 is about 594.7834939515.

Adding to 210415013 its reverse (310514012), we get a palindrome (520929025).

The spelling of 210415013 in words is "two hundred ten million, four hundred fifteen thousand, thirteen".